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Popular >

f(x)=(x^2-1)/(x^2-4)+a

Solution

f (x) = \frac{x ^{2} - 1}{x ^{2} - 4} + a

Solution

Domain : x < - 2 or - 2 < x < 2 or x > 2

Range : False for all f (x) \in R

Y Intercepts : (0, \frac{1}{4} + a)

Asymptotes : Vertical x = - 2, x = 2

Extreme Points : Maximum (0, \frac{1}{4} + a)

+1

Interval Notation

Domain : (- \infty, - 2) \cup (- 2, 2) \cup (2, \infty)

Range :

Solution steps

Domain of

\frac{x ^{2} - 1}{x ^{2} - 4} + a : x < - 2 or - 2 < x < 2 or x > 2

Range of

\frac{x ^{2} - 1}{x ^{2} - 4} + a :

False for all

f (x) \in R

Axis interception points of

\frac{x ^{2} - 1}{x ^{2} - 4} + a :

Y Intercepts

: (0, \frac{1}{4} + a)

Asymptotes of

\frac{x ^{2} - 1}{x ^{2} - 4} + a :

Vertical

: x = - 2, x = 2

Extreme Points of

\frac{x ^{2} - 1}{x ^{2} - 4} + a :

Maximum

(0, \frac{1}{4} + a)

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Frequently Asked Questions (FAQ)

What is the f(x)=(x^2-1)/(x^2-4)+a ?
The f(x)=(x^2-1)/(x^2-4)+a is